The car's kinetic energy at the bottom of the hill is approximately 127,400 J.
The potential energy the car has at the top of the hill due to its mass and height above the ground is given by the formula:
Ep = mgh
where m is the mass of the car (1300 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height of the hill (10 m).
Plugging in the values, we get:
Ep = (1300 kg) × (9.8 m/s²) × (10 m) = 127,400 J
At the bottom of the hill, all of the potential energy is converted to kinetic energy. Therefore, the car's kinetic energy at the bottom of the hill is also 127,400 J.
The formula for kinetic energy is:
Ek = ½mv²
where v is the velocity of the car. Since the car started from rest, its initial velocity was 0 m/s. Using conservation of energy, we can equate the potential energy at the top of the hill to the kinetic energy at the bottom of the hill:
Ep = Ek
mgh = ½mv²
Simplifying and solving for v, we get:
v = √(2gh)
Plugging in the values, we get:
v = √(2 × 9.8 m/s² × 10 m) ≈ 14 m/s
Finally, we can calculate the kinetic energy at the bottom of the hill:
Ek = ½mv² = ½ × (1300 kg) × (14 m/s)² ≈ 127,400 J
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If I see the star Sirius in the constellation of Canis Major rise at 8 pm tonight, what time will it rise one week from now
Viewed from the same place, it will lag by about 4 minutes per day.
7 days later puts it at roughly 8:28 PM.
Which is the best way to compare speed and velocity?
A. Slowing down versus speeding up
B. Distance over time vs distance over time and direction
C. Big vs small
D. One is the hunter and one is the prey
Please help as soon ASAP!
A car (1600kg) is moving at 5.0 m/s on a mountainside road. The cars elevation is 4.5 m from the valley floor. What is the cars gravitational potential energy? J
Answer:
70,560 J
Explanation:
GPE = mgh = (1600 kg)(9.8 m/s²)(4.5 m) = 70,560 J
**GPE is independent of velocity (v)
What is the change in potential energy for a 61 kg diver from when she jumps off a 13m high diving board and when she first hits the water?
The change in potential energy for a 61 kg diver from when she jumps off a 13m high diving board is 7,779.33J.
How to calculate potential energy?Potential energy in physics refers to the energy stored by an object due to its position.
The formula for potential energy depends on the force acting on the two objects. For the gravitational force, the formula is:
W = m×g×h = mgh
Where,
m is the mass in kilogramsg is the acceleration due to gravityh is the height in metersAccording to this question, a diver with mass 61kg jumps off 13m high diving board. The potential energy can be calculated as follows:
W = 61 × 9.81 × 13
W = 7,779.33J
Therefore, 7,779.33J is the potential energy of the diver.
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Which test measures the reaction time of movement?
Posner reaction time test measures the reaction time of movement.
The Posner cueing task, often known as the Posner reaction time test, evaluates the manual and eye-movement reaction times in response to various signals. Particularly following brain damage, this technique is frequently used to evaluate spatial attention.
An eye-level computer screen is placed in front of the individual during the exam. On the screen, there is a point or cross in the middle with two boxes on either side. A target stimulus, such as a shape, then appears on one of the boxes. The individual presses the keyboard of the computer as soon as the target is identified. The response time is measured precisely in this way.
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what force does the car exert if it’s mass is 1201 kg and the car goes from 5.40 m/s to 16.3 m/s in 107 m
122 N force does the car exert if it’s mass is 1201 kg and the car goes from 5.40 m/s to 16.3 m/s in 107 S.
What is the straightforward meaning of force?At this point, it is perfectly acceptable to refer to a force as a pushed or even a pull. A power is not a material that an object "contains" or "has in it." A force is applied to one thing by another. The idea of a force encompasses both living and non-living things.
GIVEN-
a = (16.3- 5.4)/107
=0.10 m/s^2
m= 1201 kg
F = ma
= 122 N
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A peron ha a weight if 800N in an elevator that a econd with an acceleration of 5m/. What i the reading on the cale of the elevator
The scale in the moving elevator will read 1200 N. The result is obtained by using Newton's second law.
What is Newton's second law?The Newton's second law states that "The acceleration is directly proportional to the net force acting on an object and inversely proportional to the object's mass." It can be expressed as
a = ∑F/m
or
∑F = ma
Where
∑F = net forcea = accelerationm = object's massIn an elevator, a person has a weight of 800 N. It moves with acceleration of 5 m/s². Find the scale read!
We use g = 10 m/s².
The mass of the person is
W = mg
800 = m(10)
m = 80 kg
The acceleration is positive. So, we assume that the elevator is travelling upward with acceleration of a. By using Newton's second law, we'll get
∑F = ma
N - W = ma
N = W + ma
N = 800 + 80(5)
N = 800 + 400
N = 1200 N
Hence, in the moving elevator, the scale will read 1200 N.
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One of the main forces driving plate tectonics is the dissipation of heat from the mantle, through convection or large scale upwelling and doming. Where does this heat come from?.
The dissipation of heat emanating from of the mantle, through convective or large-scale upwelling and doming, is one of the main mechanisms driving plate tectonics. The Earth's mantle and core contain numerous gases that react to form magma and lava as well as heat.
What is heat dissipation?The procedure by which heat is moved from it's own source to the surroundings, as in the example of the earth layer to the higher layer of the earth above, is known as heat dissipation. There are three possible mechanisms for heat dissipation: conduction, radiation, and convection.
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Help me out here please
The displacement is calculated to be a magnitude of 2,691.33 in a direction of 5.32.
What does physics mean by displacement?The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
What distinguishes distance from displacement?Distance is the length of any path connecting any two places. When measured along the shortest path between any two places, displacement is the direct distance between them.
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A train moves from rest to a speed of 25 m/s in 30.0 seconds. What is the magnitude of it's acceleration?
The train accelerates to 25 m/s from rest in 30 seconds. Search for: The train's acceleration. The train accelerates at 0.83 m/s2 after 30 seconds.
How do you determine acceleration?According to the equations a = v/t, acceleration (a) seems to be the product of the variation in velocity (v) and the changes in time (t).
What is the most basic meaning of acceleration?Acceleration is the term for the rate of change in speed. In most cases, but not always, acceleration denotes a shift in speed. The object keeps accelerating because the direction of its velocity is changing even while it travels in a circular motion.
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18. A vertical spring has a length of 25cm when a 150g mass is hung from its end and its length is 30cm with 250g hanging from it. What is the spring constant? a) 19.6N/cm b) 19.6n/m c) 109.6N/m d) 19.6N/m e) 19.6N/km
The spring constant of the spring is 19.6 N/m.
The correct answer is option D.
What is the spring constant of the spring?
The spring constant of the spring is calculated by applying the following equation as shown below.
Mathematically, the formula of Hooke's law is given as;
F = kx
where;
F is the applied forcek is the spring constantx is the extension of the springk = F / x
the extension of the spring when the 250 g mass was hung on it is calculated as;
x = 30 cm - 25 cm
x = 5 cm = 0.05 m
The spring constant of the spring is calculated as;
k = ( mg ) / x
where;
m is the additional mass = 250 g - 150 g = 100 gk = ( 0.1 x 9.8 ) / ( 0.05 )
k = 19.6 N/m
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What is the difference between EVs and HEVs?
The main difference between electric vehicles (EVs) and hybrid electric vehicles (HEVs) is the power source.
The differences that stand out between the two in the energy force are:
EVs are powered entirely by electricity, while HEVs combine an internal combustion engine with an electric motor and battery. EVs are more efficient, produce zero emissions, and require less maintenance than HEVs, but may be limited in terms of range and require longer charging times. HEVs are more flexible, as they can switch between the electric motor and internal combustion engine to conserve energy and extend range. However, they also produce emissions and require more maintenance than EVs.Both types of vehicles produce fewer emissions than traditional gas-powered cars and can be more fuel efficient.
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A tractor trailer truck with a ma of 3,000 kg i traveling at a peed of 30 m/. What i it momentum?
Answer:
90,000 kgm/s
Explanation:
Momentum is mass × velocity as accorded to the equation:
[tex] \displaystyle{ \text{P = mv}}[/tex]
Where P is momentum, m is mass and v is velocity. Everything is given in the problem, we have to find momentum, therefore:
[tex] \displaystyle{ \text{P} = 3000 \times 30} \\ \\ \displaystyle{ \text{P} = 90000 \: \text{kgm/s}}[/tex]
Therefore, momentum is 90,000 kgm/s
The maximum force that can be put on an egg without breaking it has been determined to be 15 N. If the 0.15 kg egg is moving at 10.0 m/s and needs to be brought to a stop. How much time will need to be allowed for it to slow down?
The time it takes to put the egg to rest is 0.1 seconds
What is time?Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present.
To calculate the time it will takes to put the egg to rest, we use the below.
Formula:
t = m(v-u)/F.................... Equation 1Where:
t = Timem = Massv = Final Velocityu = Initial velocityF = ForceFrom the question,
Given:
m = 0.15 kgF = -15 N (Against the direction of motion)u = 10 m/sv = 0 m/s (To rest)Substitute these values into equation 1
t = 0.15(0-10)/-15t = -1.5/-15t = 0.1 secondsHence, the time is 0.1 seconds
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What is the best term or statement to define energy?
The power to do activities is the best term or statement to define energy.
Energy is the potency to do work or make changes to an object. Nowadays, it is very possible to do this because several studies and experiments have been carried out on how to convert energy to do work. People use energy to carry out many activities and make human life easier. Such as cooking, moving cars and ships, lighting houses and roads, walking, making various products, and sending astronauts into outer space.
Energy can be found in many forms such as motion, light, heat, electricity, gravitational, and chemicals.
Energy cannot be destroyed but can be changed from one form to another. An example is the energy contained in coal or natural gas which can be converted into electrical energy. Likewise when humans eat. Food contains chemical energy, and the body stores this energy to use as kinetic energy during activities.
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The cue ball strikes a the 8 ball. The two balls have the same mass. Which of the following is true.
a.
The amount the cue ball slows down is equal to the amount the 8 ball speeds up.
b.
The 8 ball will speed up more than the cue ball slows down.
c.
The cue ball will slow down more than the 8 ball speeds up.
Answer: A. The amount the cue ball slows down is equal to the amount the 8 ball speeds up. ✅
Explanation:
This is true due to the law of conservation of momentum. In an isolated system, the total momentum before the collision is equal to the total momentum after the collision. Since the two balls have the same mass, the amount of momentum lost by the cue ball will be equal to the amount of momentum gained by the 8 ball. ✅
An archer shoots an 126 g (remember to convert to kilograms) arrow 88 m/s. How much kinetic energy does it have?
To calculate the kinetic energy of an arrow, we need to know its mass and velocity. Given that the arrow's mass is 126 g, and its velocity is 88 m/s we can use the formula:
kinetic energy = 1/2 * mass * velocity^2
First, we have to convert the mass of the arrow from grams to kilograms, as the formula requires units in kilograms.
1 kg = 1000 g
126 g = 126/1000 kg = 0.126 kg
Then we can substitute the values into the formula:
kinetic energy = 1/2 * 0.126 kg * (88 m/s)^2
kinetic energy = 1/2 * 0.126 * 7744 m^2/s^2
kinetic energy = 468.3 J (joules)
So the kinetic energy of the arrow is 468.3 J. Kinetic energy is a scalar quantity and it represents the energy of motion of an object. In this case, the energy possessed by the arrow due to its motion.
Sonography captures images by using
the speed of a sound and wave reflection
the reflection and refraction of the sound wave
the distance between the receiver and the wave intensity
the wave intensity and sound speed
Sonography captures images by using the reflection and refraction of the sound wave.
The correctoption is B
What is Sonography?Sonography is described as a diagnostic medical test that uses high-frequency sound waves, or ultrasound waves, to create images of tissues, glands, organs, and blood or fluid flow within the body.
Sonography uses a device called a transducer on the surface of the skin to send ultrasound waves and listen for an echo.
The difference between sonography and ultrasound is that an ultrasound is a tool used to take a picture while a sonogram is the picture that the ultrasound generates.
In conclusion, sonography is the use of an ultrasound tool for diagnostic purposes.
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Answer:
Sonography captures images by using the reflection and refraction of the sound wave,
Or B.
Hope this helps!
Convert 3600 s to hr
show all work please and thank you! (SHOW ALL WORK) thanks<3 ill give brainlist
To convert time to hours from seconds, you have to divide the total seconds by 3600.
[tex]\dfrac{3600}{3600} =\texttt{1 hour}[/tex]
3600 seconds would be 1 hour.
12. a) Sound waves travel at a speed of 340 m s¹ in air
at 20°C. If the frequency of these waves is 2.5 kHz,
what is their wavelength?
b) Infra-red electromagnetic waves travel at a
speed of 3.0 x 108 m s¹. Calculate the frequency of
these waves if their wavelength is 1.2 x 10-6 m.
Answer:
[tex]a)0.136m \\ b)2.5 \times 10 {}^{14} cycle \: per \: sec[/tex]
Explanation:
Greetings!!
Let's start from question a
Given values :-speed(velocity)= 340m/s
frequency=2.5kHz
Temperature= 20°c
required values:-wave length=?
solution:-Firstly, recall velocity-wavelength equation
v=λf,substitute known variables into the equation
(340)= (2500). λTo not get confused 2500 comes when kHz is changed to Hz. (notice)
solve for wavelength
λ= 0.136mfor the second question b. also use the same procedure and the same format ( formula)
Thus, we work as
Given values:-speed(velocity)= 3.0×10^8
wavelength=12×10^-6
required values:-frequency=?
solution:-Firstly, recall velocity-wavelength equation
v=λfsubstitute known values into the equation
(3.0×10^8)= f(1.2×10^-6)
solve for frequency
f= 2.5× 10^14 Hz
If any questions or anything else tag me on comments.
Hope it helps!!!
Please help chemistry, I'm stuck
9 mol P4010 forms 36 mol H3PO4, while
51 moles H2O form 34 moles H3PO4.
How many moles of H3PO4 form during
the reaction?
? ] mol H3PO4
Round your answer to the ones place.
Answer:
???
Explanation:
Not sure to which reaction the question refers
but here is the simplest balanced equation
P4 O10 + 6 H2 O ======> 4 H3 PO4
So the answer may be 4 moles
If the reaction is using 9 moles of PO4 and 51 Moles of H2O
the H2O will limit the number of moles of H3PO4 produced to 34 moles this may be the answer the Q is looking for....H2O is the limiting reagent
The number of moles of H3PO4 form during the reaction is 4.
What is meant by limiting reagent ?Limiting reagent of a reaction is defined as the reactant that is being completely used up in the reaction.
Here,
Given that,
The number of moles of P₄O₁₀ = 9
The number of moles of H₂O = 51
If 9 moles of P₄O₁₀ can form 36 moles of H₃PO₄, 1 mole of P₄O₁₀ can form 36/9 = 4 moles of H₃PO₄
The balanced equation for the reaction can be written as,
P₄O₁₀ + 6H₂O ⇒ 4H₃PO₄
From the equation, we can say that 1 mole of P₄O₁₀ and 6 moles of H₂O will form 4 moles of H₃PO₄
H₂O is the limiting reagent of this reaction.
Hence,
The number of moles of H3PO4 form during the reaction is 4.
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A 2 kg box slides down a frictionless ramp starting
from a height of 3 m. The slope of the ramp is 30°,
What is the box's momentum when it reaches the
bottom of the ramp?
Answers:
A) 15.3 kg•m/s down the ramp
B) 7.7 kg.m/s down the ramp
C) 5.5 kg•m/s down the ramp
D) 2.8 kg•m/s down the ramp
The box's momentum when it reaches the bottom of the ramp is 2.8 kg•m/s down the ramp.
What is the velocity of the box when it reaches the bottom?When the box reaches the bottom of the slope, its speed is v = (nh) n has a value. The block has gravitational potential energy when it briefly comes to rest at the top of the ramp and starts with kinetic energy at the bottom. However, some of that energy is lost due to frictional effort. You can use a free body diagram and Newton's second law to calculate the frictional force on the block. What will happen if you roll two cylinders of the same mass and diameter—one solid and one hollow—down a ramp is how this traditional physics textbook version of the problem is phrased. The solid one will eventually sink, is the solution.To learn more about velocity of the box refer to:
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A force of 57. 1 newtons is applied for 0. 977 meters; what work was done on the object?(1 point).
The work was done on the object is 55.8 Joule. The result is obtained by multiplying the force by the distance.
How to find the work done on an object?The work done on an object can be counted by the equation:
W = F × d
Where
W = Work (Joule or Nm)F = Force (Newton)d = distance (meter)We have an object which on it applied:
Force, F = 57.1 NewtonsDistance, d = 0.977 metersFind the word done on the object!
W = F × d
W = 57.1 Newtons × 0.977 meters
W = 55.7867 Nm
W ≈ 55.8 Joule
Hence, the work done by the force on the object is 55.8 Joule or 55.8 Nm.
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calculate the linear expansivity of brass of length 120 m that assumed a new length of 120.05 m when heated to a temperature 100° c
The linear expansivity of brass of length 120 m that assumed a new length of 120.05 m when heated to a temperature 100° c is 4.167.10⁻¹⁶ 1/K.
What is Linear expansivity?Linear expansivity is the ratio of the length increase of a solid specimen to the temperature change. The expansivity (α) of a specimen is given by the formula l2 = l1(1 +), where l1 is the length of the specimen, and l2 is the length of the specimen when the temperature increases by °.
The linear expansion coefficient can be written in SI units as either °C-1 or °K-1. C in this context stands for Celsius, and K for Kelvin. M0L0T0K1 will be the size of the linear expansion coefficient.
Modifying or lengthening is referred to as expansion. When one dimension (length) changes in length in relation to the volume, this is referred to as linear expansion.
When the temperature rises by one degree, a solid's linear expansivity increases by a fractional amount.
calculate the linear expansivity of brass of length 120 m ?
Assuming the temperature change is 100°C.
α=L−L0/L0- ΔT⇒(1) Δ Greek value is 4
Given L=120
L0=120.05
T=100°c
substitute the given values in equation 1 we have
α=120-120.5/120.05-4(100)
=4.167.10⁻¹⁶ 1/K
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Convert 250 N to lb show all work please thank you
Convert 250 Newtons to Pounds-Force
250 Newtons (N)
1 N = 0.224809 lbf
=
56.2022 Pounds-Force (lbf)
1 lbf = 4.44822 N
Will knows that the gravitational pull of mars is less than the gravitational pull of earth. When he lands on mars, his mass will be 75 kilograms. His weight on mars will be his weight on earth.
Weight of will in mars would be 85N. When he lands on Mars, his mass will be equal to 75 kilograms. His weight on Mars will be less than his weight on Earth.
Would you weigh more or less if you stood on Mars's surface instead of Earth's?Even though the individual would be made out of the same quantity of material, they would only weigh 38% as much as they would on Earth. This is because Mars has less gravitational pull than Earth.
gravitational pull on the surface of Mars = 3.8.
weight on the mars = 75 x 3.8 = 85N.
What creates the attraction of gravity?All objects with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature. All items on Earth are drawn "downward" by gravity toward the planet's core. The gravitational attraction between two bodies is stronger when their masses are bigger, according to Sir Isaac Newton's Universal Law of Gravitation.
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Will is a scientist. He’s designing a spacecraft that would allow people to land on Mars. Will’s mass on Earth is 75 kilograms. Will knows that the gravitational pull of Mars is less than the gravitational pull of Earth. When he lands on Mars, his mass will be (Less than, Equal to or More than) 75 kilograms. His weight on Mars will be (less than, Equal to, or more than) his weight on Earth.
Which type of weathering is most evident in the image below?
A. Abrasion
B. Breaking apart by plants.
C. Cracks from temperature changes
D. Ice wedging
Answer:
B
Explanation:
the roots are dig deep into small cracks and crevices, and as they grow they pry the rock apart. look close and you will see the roots of the tree.
What describes the speed of a planet traveling in an elliptical orbit around the sun? a. Constant b. Fastest when closest to the sun c. Slowest when closest to the sun d. Fastest when closest to the moon.
The speed of a planet traveling in an elliptical orbit around the sun is b. Fastest when closest to the sun.
ABOUT ELLIPTICAL ORBITThe planets in the solar system revolve around the sun in certain paths called orbits or orbits that are elliptical, not circular.
In ancient times, humans adhered to geocentric understanding. This theory was introduced by the Greek astronomer Claudius Ptolemy in 100-170 AD.
This belief persisted for 1,400 years. According to him, the earth is the center of the solar system. The sun and planets revolve around the earth in a circular path.
Then in 1543, the astronomer Nicolaus Copernicus sparked the Heliocentric model. According to him, the Earth and other planets revolve around the Sun in circular paths. This theory is better than ever. Although, the assumption that the trajectory of a planet's motion is still in the form of a circle.
The planet's orbit is elliptical due to the gravitational interaction between the planet and the sun and other celestial bodies. Johannes Kepler in the 1600s was the first to discuss the shape of planetary orbits.
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Answer: B.
fastest when closest to the Sun
Explanation: plato :3
Hope this helps!
Which action describes a response to internal stimuli? A Catching a ball at a baseball game B Drinking when you are thirsty C Running at the sight of a wild lion D Writing a thank you note
Drinking when you are thirsty is response to internal stimuli.
Stimuli is the physical or chemical change in the environment of a living organism. Stimuli may results in some action or some functional activity. There are two types of stimuli, internal stimuli and external stimuli.
Internal stimuli is the internal response which arises inside the body of the organism.
External stimuli is the response of the organism to some external change in the environment.
Catching a ball at a baseball game is the response to the change in the outside the body activity (external change).
Drinking the water when you are thirsty is the response to that activity which is felt by us inside the body.
Running at the sight of a wild lion is the response an to external activity.
Writing a thank you note is also a response to the external activity to a nice gesture of someone.
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A car traveling 24 m/s comes to a stop in 8 seconds. What is the acceleration/deceleration?
The acceleration/deceleration is -3 m/s².
This can be calculated by using the equation a = (vf - vi) / t,
where a is the acceleration/deceleration, vf is the final velocity (in this case 0 m/s), vi is the initial velocity (in this case 24 m/s), and t is the time (in this case 8 seconds).
Plugging in the values, we get a = (-0 - 24) / 8, which simplifies to a = -3 m/s².
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